2101121101061 has 2 divisors, whose sum is σ = 2101121101062. Its totient is φ = 2101121101060.

The previous prime is 2101121101039. The next prime is 2101121101081. The reversal of 2101121101061 is 1601011211012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1209106964836 + 892014136225 = 1099594^2 + 944465^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101121101061 - 2¹⁰ = 2101121100037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101121101081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050560550530 + 1050560550531.

It is an arithmetic number, because the mean of its divisors is an integer number (1050560550531).

Almost surely, 2^{2101121101061} is an apocalyptic number.

It is an amenable number.

2101121101061 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101121101061 is an equidigital number, since it uses as much as digits as its factorization.

2101121101061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 2101121101061 its reverse (1601011211012), we get a palindrome (3702132312073).

The spelling of 2101121101061 in words is "two trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, sixty-one".